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490423222080 = 26355112471109
BaseRepresentation
bin1110010001011111000…
…00000111111101000000
31201212212102210222200000
413020233200013331000
531013341321101310
61013144115400000
750301100415121
oct7105740077500
91655772728600
10490423222080
11179a9513a500
127b0698b3000
1337329042a8c
1419a4538c048
15cb54ec44c0
hex722f807f40

490423222080 has 1008 divisors, whose sum is σ = 1965496216320. Its totient is φ = 116255969280.

The previous prime is 490423222063. The next prime is 490423222087. The reversal of 490423222080 is 80222324094.

490423222080 is a `hidden beast` number, since 4 + 9 + 0 + 423 + 2 + 220 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490423222087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 442220566 + ... + 442221674.

It is an arithmetic number, because the mean of its divisors is an integer number (1949897040).

Almost surely, 2490423222080 is an apocalyptic number.

490423222080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490423222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982748108160).

490423222080 is an abundant number, since it is smaller than the sum of its proper divisors (1475072994240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490423222080 is a wasteful number, since it uses less digits than its factorization.

490423222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 490423222080 in words is "four hundred ninety billion, four hundred twenty-three million, two hundred twenty-two thousand, eighty".